Geodesic
Equilibrium price as a coincidence point of two mappings
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 2, pp. 225-237 Cet article a éte moissonné depuis la source Math-Net.Ru

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The existence of an equilibrium price vector in a nonlinear market model is analyzed. In the model, the demand and supply functions are obtained by maximizing the producer utility and profit, respectively. Sufficient conditions for the existence of an equilibrium price vector and its stability with respect to small perturbations in the model are given. The results are consequences of theorems on the existence and stability of coincidence points in the theory of $\alpha$-covering mappings. 
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A. V. Arutyunov; S. E. Zhukovskiy; N. G. Pavlova. Equilibrium price as a coincidence point of two mappings. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 2, pp. 225-237. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_2_a4/

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